Details

sample3.3s

Algorithm

intervals

Results

2.8s	150×	body	10240	exit
158.0ms	53×	body	1280	nan
152.0ms	262×	body	80	valid
56.0ms	43×	body	640	nan
18.0ms	22×	body	320	nan
10.0ms	15×	body	160	nan
4.0ms	15×	body	80	nan

simplify2.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (809.0ms)

Iter	Nodes	Cost
0	60	123
1	148	123
2	611	121
3	3878	88
done	5001	88

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize144.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (- 1.0 z) 1.0)
4.8b	(- (- 1.0 z) 1.0)
4.8b	(- (- 1.0 z) 1.0)
4.8b	(- (- 1.0 z) 1.0)

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

59.0ms	(- (- 1.0 z) 1.0)
76.0ms	(- (- 1.0 z) 1.0)
69.0ms	(- (- 1.0 z) 1.0)
94.0ms	(- (- 1.0 z) 1.0)

series63.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
14.0ms	(- (- 1.0 z) 1.0)

simplify2.8s

Counts

212 → 212

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	84	2848
1	169	2152
2	321	1656
3	1240	1132
done	5000	904

prune2.7s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize575.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (- 1.0 z) 1.0)
4.8b	(- (- 1.0 z) 1.0)
4.8b	(- (- 1.0 z) 1.0)
4.8b	(- (- 1.0 z) 1.0)

rewrite319.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
96×	`prod-diff`
64×	`add-cube-cbrt`
44×	`associate--l+`
28×	`distribute-lft-out--`
24×	`add-log-exp`
20×	`fma-neg` `difference-of-squares`
12×	`diff-log`
8×	`sub-neg`
4×	`pow1` `add-exp-log` `associate--l-` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

4 → 200

Calls

4 calls:

70.0ms	(- (- 1.0 z) 1.0)
76.0ms	(- (- 1.0 z) 1.0)
92.0ms	(- (- 1.0 z) 1.0)
60.0ms	(- (- 1.0 z) 1.0)

series58.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
13.0ms	(- (- 1.0 z) 1.0)
19.0ms	(- (- 1.0 z) 1.0)

simplify2.7s

Counts

212 → 212

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	84	2848
1	169	2152
2	321	1656
3	1240	1132
done	5000	904

prune3.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.8b

localize116.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ 9.984369578019572e-06 (+ (- z) 7.0)) (/ -0.13857109526572012 (+ 6.0 (- z))))
1.0b	(+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z))))
1.0b	(+ (/ -1259.1392167224028 (+ (- z) 2.0)) (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (/ 12.507343278686905 (+ 5.0 (- z))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (+ (/ 9.984369578019572e-06 (+ (- z) 7.0)) (/ -0.13857109526572012 (+ 6.0 (- z))))))))
1.0b	(sqrt (* PI 2.0))

rewrite25.8s

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
189×	`frac-add`
124×	`distribute-lft-out`
113×	`add-log-exp`
88×	`sum-log`
48×	`times-frac`
47×	`fma-def` `flip3-+` `flip-+`
23×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-rgt-neg-in`
7×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `associate-/r/` `add-cbrt-cube` `log1p-expm1-u`
3×	`+-commutative`
2×	`sqrt-pow1` `div-inv`
1×	`associate-+l+` `associate-+r+` `pow1/2` `pow-prod-down` `sqrt-prod`

Counts

4 → 198

Calls

4 calls:

134.0ms	(+ (/ 9.984369578019572e-06 (+ (- z) 7.0)) (/ -0.13857109526572012 (+ 6.0 (- z))))
1.5s	(+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z))))
24.2s	(+ (/ -1259.1392167224028 (+ (- z) 2.0)) (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (- 1.0 z))) (/ -176.6150291621406 (+ 4.0 (- z)))) (/ 771.3234287776531 (+ 3.0 (- z)))) (+ (/ 12.507343278686905 (+ 5.0 (- z))) (+ (/ 1.5056327351493116e-07 (+ 8.0 (- z))) (+ (/ 9.984369578019572e-06 (+ (- z) 7.0)) (/ -0.13857109526572012 (+ 6.0 (- z))))))))
4.0ms	(sqrt (* PI 2.0))

series149.0ms

Calls

1 calls:

0.0ms

(sqrt (* PI 2.0))